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%TCIDATA{Created=Tue Jun 08 12:38:16 2004}
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\newtheorem{theorem}{Theorem}
\newtheorem{acknowledgement}[theorem]{Acknowledgement}
\newtheorem{algorithm}[theorem]{Algorithm}
\newtheorem{axiom}[theorem]{Axiom}
\newtheorem{case}[theorem]{Case}
\newtheorem{claim}[theorem]{Claim}
\newtheorem{conclusion}[theorem]{Conclusion}
\newtheorem{condition}[theorem]{Condition}
\newtheorem{conjecture}[theorem]{Conjecture}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{criterion}[theorem]{Criterion}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{example}[theorem]{Example}
\newtheorem{exercise}[theorem]{Exercise}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{notation}[theorem]{Notation}
\newtheorem{problem}[theorem]{Problem}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{remark}[theorem]{Remark}
\newtheorem{solution}[theorem]{Solution}
\newtheorem{summary}[theorem]{Summary}
\newenvironment{proof}[1][Proof]{\textbf{#1.} }{\ \rule{0.5em}{0.5em}}
\begin{document}
El conjunto soluci\'{o}n de la desigualdad \ $\left\vert \dfrac{4}%
{11}-x\right\vert <5$ es,\medskip\newline\qquad a) $\left\{  -\dfrac{51}%
{11}<x<\dfrac{59}{11}\right\}  \qquad$b) $\left\{  -\dfrac{54}{11}%
<x<\dfrac{59}{11}\right\}  \medskip$\newline\qquad c) $\left\{  -\dfrac
{51}{11}<x<\dfrac{80}{11}\right\}  \qquad$d) $\left\{  -\dfrac{51}{11}\leq
x\leq\dfrac{59}{11}\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert \dfrac{4}{3}%
-\dfrac{x}{2}\right\vert <5$ es,\medskip\newline\qquad a) $\left\{
-\dfrac{22}{3}<x<\dfrac{38}{3}\right\}  \qquad$b) $\left\{  -\dfrac{38}%
{3}<x<-\dfrac{22}{3}\right\}  \medskip$\newline\qquad c) $\left\{  -\dfrac
{22}{3}<x\leq\dfrac{38}{3}\right\}  \qquad$d) $\left\{  -\dfrac{22}{3}\leq
x\leq\dfrac{38}{3}\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert \dfrac{2}{3}%
-\dfrac{x}{4}\right\vert <1$ es,\medskip\newline a) $\left\{  -\dfrac{4}%
{3}<x<\dfrac{20}{3}\right\}  \qquad$b) $\left\{  -\dfrac{20}{3}<x<-\dfrac
{4}{3}\right\}  \medskip$\newline c) $\left\{  -\dfrac{4}{3}<x\leq\dfrac
{20}{3}\right\}  \qquad$d) $\left\{  -\dfrac{4}{3}\leq x\leq\dfrac{20}%
{3}\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert 7-\dfrac{x}%
{3}\right\vert <10$ es,\medskip\newline\qquad a) $\left\{  -9<x<51\right\}
\qquad$b) $\left\{  -51<x<-9\right\}  \medskip$\newline\qquad c) $\left\{
-9<x51\right\}  \qquad$d) $\left\{  -9\leq x\leq51\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert 2-\dfrac{2x}%
{3}\right\vert <5$ es,\medskip\newline\qquad a) $\left\{  -\dfrac{9}%
{2}<x<\dfrac{21}{2}\right\}  \qquad$b) $\left\{  -\dfrac{21}{2}<x<-\dfrac
{9}{2}\right\}  \medskip$\newline\qquad c) $\left\{  -\dfrac{9}{2}<x\leq
\dfrac{21}{2}\right\}  \qquad$d) $\left\{  -\dfrac{9}{2}\leq x\leq\dfrac
{21}{2}\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert \dfrac{1}{5}%
-\dfrac{x}{4}\right\vert <3$ es, \newline\qquad a) $\left\{  -\dfrac{56}%
{5}<x<\dfrac{64}{5}\right\}  $\qquad b) $\left\{  \dfrac{56}{5}<x<\dfrac
{64}{5}\right\}  \medskip$ \newline\qquad c) $\left\{  -\dfrac{64}{5}\leq
x\leq-\dfrac{56}{5}\right\}  $\qquad d) $\left\{  -\dfrac{64}{5}<x\leq
\dfrac{56}{5}\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert \dfrac{2}{3}%
-\dfrac{x}{7}\right\vert \leq2$ es, \newline\qquad a) $\left\{  -\dfrac{28}%
{3}\leq x\leq\dfrac{56}{3}\right\}  $\qquad b) $\left\{  -\dfrac{56}%
{3}<x<\dfrac{28}{3}\right\}  $ \medskip\newline\qquad c) $\left\{  -\dfrac
{56}{3}<x\leq-\dfrac{28}{3}\right\}  $\qquad d) $\left\{  \dfrac{28}%
{3}<x<\dfrac{56}{3}\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert \dfrac{2}{7}%
-\dfrac{x}{8}\right\vert >4$ es, \newline\qquad\medskip a) $\left\{
x<-\dfrac{208}{7}\right\}  \left\{  x>\dfrac{240}{7}\right\}  $\qquad b)
$\left\{  -\dfrac{208}{7}<x<\dfrac{240}{7}\right\}  $ \newline\qquad c)
$\left\{  x<-\dfrac{240}{7}\right\}  \left\{  x>\dfrac{208}{7}\right\}
$\qquad d) $\left\{  -\dfrac{240}{7}<x<\dfrac{208}{7}\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert \dfrac{3}{5}%
+\dfrac{x}{9}\right\vert \geq3$ es, \newline\qquad\medskip a) $\left\{
x<-\dfrac{162}{5}\right\}  \left\{  x\geq\dfrac{108}{5}\right\}  $\qquad b)
$\left\{  -\dfrac{162}{5}\leq x<\dfrac{108}{5}\right\}  $ \newline\qquad c)
$\left\{  x<-\dfrac{108}{5}\right\}  \left\{  x\geq\dfrac{162}{5}\right\}
$\qquad d) $\left\{  -\dfrac{108}{5}\leq x<\dfrac{162}{5}\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert \dfrac{7}{9}%
+\dfrac{x}{3}\right\vert <4$ es, \newline\qquad\medskip a) $\left\{
-\dfrac{43}{3}<x<\dfrac{29}{3}\right\}  $\qquad b) $\left\{  -\dfrac{43}%
{3}<x<-\dfrac{29}{3}\right\}  $ \newline\qquad c) $\left\{  -\dfrac{43}{3}\leq
x\leq\dfrac{29}{3}\right\}  $\qquad d) $\left\{  -\dfrac{29}{3}<x\leq
\dfrac{43}{3}\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert \dfrac{6}{7}%
+\dfrac{x}{4}\right\vert \leq1$ es, \newline\qquad\medskip a) $\left\{
-\dfrac{52}{7}\leq x\leq\dfrac{4}{7}\right\}  $\qquad b) $\left\{  \dfrac
{4}{7}<x<\dfrac{52}{7}\right\}  $ \newline\qquad c) $\left\{  -\dfrac{52}%
{7}\leq x\leq-\dfrac{4}{7}\right\}  $\qquad d) $\left\{  -\dfrac{4}%
{7}<x<\dfrac{52}{7}\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert \dfrac{3}{7}%
-\dfrac{x}{2}\right\vert >3$ es, \newline\qquad\medskip a) $\left\{
x<-\dfrac{36}{7}\right\}  \left\{  x>\dfrac{48}{7}\right\}  $\qquad b)
$\left\{  -\dfrac{48}{7}\leq x<-\dfrac{36}{7}\right\}  $ \newline\qquad c)
$\left\{  -\dfrac{36}{7}<x\leq\dfrac{48}{7}\right\}  $\qquad d) $\left\{
x\leq-\dfrac{48}{7}\right\}  \left\{  x>\dfrac{36}{7}\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert \dfrac{1}{2}%
-\dfrac{x}{7}\right\vert \geq5$ es, \newline\qquad\medskip a) $\left\{
x\leq-\dfrac{63}{2}\right\}  \left\{  x\geq\dfrac{77}{2}\right\}  $\qquad b)
$\left\{  -\dfrac{77}{2}<x\leq\dfrac{63}{2}\right\}  $ \newline\qquad c)
$\left\{  x<-\dfrac{77}{2}\right\}  \left\{  x\geq\dfrac{63}{2}\right\}
$\qquad d) $\left\{  -\dfrac{63}{2}<x<\dfrac{77}{2}\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert \dfrac{1}{9}%
-\dfrac{x}{8}\right\vert \leq2$ es, \newline\qquad\medskip a) $\left\{
-\dfrac{136}{9}\leq x\leq\dfrac{152}{9}\right\}  $\qquad b) $\left\{
-\dfrac{152}{9}\leq x<\dfrac{136}{9}\right\}  $ \newline\qquad c) $\left\{
-\dfrac{152}{9}<x<\dfrac{-136}{9}\right\}  $\qquad d) $\left\{  \dfrac{136}%
{9}<x\leq\dfrac{152}{9}\right\}  $

El conjunto soluci\'{o}n de la desigualdad \ $\left\vert \dfrac{1}{10}%
-\dfrac{x}{3}\right\vert <2$ es, \newline\qquad\medskip a) $\left\{
-\dfrac{57}{10}<x<\dfrac{63}{10}\right\}  $\qquad b) $\left\{  -\dfrac{63}%
{10}\leq x<-\dfrac{57}{10}\right\}  $ \newline\qquad c) $\left\{  \dfrac
{57}{10}\leq x\leq\dfrac{63}{10}\right\}  $\qquad d) $\left\{  -\dfrac{63}%
{10}<x\leq\dfrac{57}{10}\right\}  $


\end{document}